Question

Sarah and Joe are seeking to join a gym. Sarah saw on television that Great Gym is offering membership at $19.50 per month, plus a one-time registration fee of $59. Joe plans to join Wacky Workout World because Wacky Workout World only charges $9.50 per month, plus a one-time registration fee of $149.

Both gym memberships will eventually have a month in which the cost to attend either gym would be the same. How long would this membership be and how much would it cost? Show your work.

this is the last question pleasee help once again

Answer 1

Check the answers below.

Answer 2

Make Two Lists Like This:$59+$19.50=$78.50,$98.50 We keep adding by $19.50,the monthly payment to get the amount for the following months since $59 is fixed.Do the same with the other gym's requirements until you find a month in which the amounts are the same.Here is an example ;fixed $4 monthly $3 another fixed k8 monthly $2 solution:$4+$3=7,10,13,16 ~$8+$2=10,12,14,16. - 16 comes 4th in both patterns and it is the first number to come at the same position.Hence it is in the forth month if it were months.thanks for the question I will post a simpler way if I find it.

Answer 3

fee for Great Gym = 19.5m + 59
fee for wacky = 9.5m + 149

so you want 19.5m + 59 = 9.5m + 149
10m = 90
m = 9

it would take 9 months,
cost = 19.5(9) + 59 = $234.50